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Finding the Third Proportional to 337,263 and 745,944

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Solution

The third proportional to 337,263 and 745,944 is: 1,649,847.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    337,263 : 745,944 = 745,944 : x
  2. Step 2: Convert to fraction form
    337,263/745,944 = 745,944/x
  3. Step 3: Cross multiply
    337,263x = 745,944 × 745,944
  4. Step 4: Simplify right side
    337,263x = 556,432,451,136
  5. Step 5: Solve for x
    x = 556,432,451,136/337,263
  6. Step 6: Final answer
    x = 1,649,847.30

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.